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Four metal rods each of length L and cro...

Four metal rods each of length L and cross sectional area A are joined at point M. Thermal conductivities of MA, MB and MD are equal and that of MC is thrice that of MA. The end points A, B, C and D are kept in large reservoirs. Heat folws into the junction from B at a rate of `P(Js^(-1))` and C from at a rate of 3P. Heat flows out of D at a rate of 5P.
(a) Find the relation between temperatures of points A, B and C.
(b) Find temperature of `D` if temperature of A and M and `T_(A)` and `T_(M)` respectively.

Text Solution

Verified by Experts

The correct Answer is:
(a) `T_(A)=T_(B)=T_(C)` (b) `T_(D)=6T_(M)-5T_(A)`
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Knowledge Check

  • Four identical rods which have thermally insulated lateral surfaces are joined at point A. Points B,C,D & E are connected to large reservoirs. If heat flows into the junction from point B at rate of 1W and from point C at 3 W inside, flows out from D at 5 w, which relation (s) is//are correct for temperature of these points?

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